Related papers: A Borel maximal cofinitary group
We construct finite volume hyperbolic manifolds with large symmetry groups. The construction makes use of the presentations of finite Coxeter groups provided by Barot and Marsh and involves mutations of quivers and diagrams defined in the…
We study finite dimensional representations of the projective modular group. Various explicit dimension formulas are given.
We construct a hyperbolic three-manifold with trivial finite type invariants up to a given degree.
We study group extensions of Finite Abelian Groups using matrices. We also prove a Theorem for equivalence of extensions using matrices.
We survey some results concerning finite group actions on products of spheres.
We review some results of calculations, having the property of maximal transcendentality.
We determine the finite groups whose real irreducible representations have different degrees.
This paper is a survey on the works [MS77, MS79, MS81] on maximal subgroups in finitely generated linear groups, and the works that followed it [GG08, GG13b, GG13a, Kap03, Iva92, HO16, GM16, AGS14, Sf90, Sf98, Per05, AKT16, FG18, GS17]…
We prove the even isomorphism theorem for Coxeter groups
We give several equivalent characterisations of the maximal pro-2 quotients of real projective groups. In particular, for pro-2 real projective groups we provide a presentation in terms of generators and relations, and a purely…
In this note we present an algorithm for the construction of the unit group of the Burnside ring $\Omega(G)$ of a finite group $G$ from a list of representatives of the conjugacy classes of subgroups of G.
Let $d \geq 2$ be an integer. We conjecture that there is a finitely generated perfect group whose homomorphic images include all finite $d$-generated perfect groups. We prove a special case of this conjecture for the finite perfect groups…
We use probabilistic methods to prove that many Coxeter groups are incoherent. In particular, this holds for Coxeter groups of uniform exponent > 2 with sufficiently many generators.
We survey the known results regarding the boundaries of word-hyperbolic groups.
Motivated by appearance of multisemigroups in the study of additive $2$-categories, we define and investigate the notion of a multisemigroup with multiplicities. This notion seems to be better suitable for applications in higher…
The first examples of exceptional terminal singularities are constructed.
The computation of the cobordism group of Morse functions on unoriented surfaces using Stein factorizations.
We will give another definition of Euler class group of a Noetherian ring.
For every quiver (valued) of finite representation type we define a finitely presented group called a picture group. This group is very closely related to the cluster theory of the quiver. For example, positive expressions for the Coxeter…
We show the existence of Hall polynomials for representation-finite cluster-tilted algebras.